# (Solved) Math225 Week 8 Assignment: Predictions Using Linear Regression

Question

The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2.

(a) According to the line of best fit, the predicted number of minutes spent reading for someone who spent 67 minutes studying is 46.92.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Question

The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

(a) According to the line of best fit, what would be the predicted number of minutes spent reading for someone who spent 67 minutes studying? Round your answer to two decimal places.

Question

Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.79x+98.8.

(a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Question

Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.79x+98.8. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

(a) According to the line of best fit, what would be the predicted number of minutes spent reading for a person who works 27 hours (per week)? Round your answer to two decimal places, as needed.

# Solution:

The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2.

(a) According to the line of best fit, the predicted number of minutes spent reading for someone who spent 67 minutes studying is 46.92.

(b) Is it reasonable to use this line of best fit to make the above prediction?

Answer: The estimate, a predicted time of 46.92 minutes, is both reliable and reasonable.

The table shows data collected on the relationship between the time spent studying per day…Please click the icon below to download the solution at \$5